Stochastic processes provide a probabilistic framework to model the time-evolving uncertainty intrinsic to financial markets. By characterising random movements such as asset prices, interest rates ...

Affine processes provide a versatile framework for modelling complex financial phenomena, ranging from interest rate dynamics to credit risk and beyond. Their defining characteristic is the affine, or ...

The Annals of Applied Probability, Vol. 28, No. 1 (February 2018), pp. 1-34 (34 pages) In this paper, we aim to develop the stochastic control theory of branching diffusion processes where both the ...